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" Through three points not in the same straight line, one and only one plane can be passed. "
Lessons on form, for teachers [of geometry]. - Page 76
by Richard Pears Wright - 1882
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The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

Physics - 1868 - 1022 pages
...arrangement and in modes of statement and proof. For instance, the theorem "Through any three points ABC, not in the same straight line, one, and only one, circumference can always be drawn," and the problem " To describe a circle which shall pass through three given non-collinear points, P,...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...which cut each other are in the same plane. Also any three points whatever are in the same plane. Also through any three points, not in the same straight line, one, and only one, plane can be passed. Proposition 3. Tlieorem.—If two planes cut each other, their common section...
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Plane and Solid Analytic Geometry

Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...Determination of the Equation of a Circle Passing through Three Given Points. We know, by Plane Geometry, that through any three points not in the same straight line one, and only one, circle may be drawn. In Analytic Geometry, either form of equation of the circle involves three parameters...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...hence are identically equal ; and, conversely, equal circles have equal radii. § 148. (4) Through three points not in the same straight line, one and only one circle can be described. § 151. (5) Two circles which coincide at three points coincide throughout....
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...triangle the angles opposite the equal sides are equal. (6) State and prove the converse proposition. 2. Through any three points not in the same straight line one and only one circumference can be passed. 3. If two triangles have an angle of one equal to an angle of the other, and the including...
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The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

English periodicals - 1868 - 524 pages
...arrangement and in modes of statement and proof. For instance, the theorem ' ' Through any three points ABC, not in the same straight line, one, and only one, circumference can always be drawn," and the problem " To describe a circle which shall pass through three given non-collinear points, P,...
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